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213963112 = 231123611733
BaseRepresentation
bin11001100000011…
…01000101101000
3112220121110012201
430300031011220
5414233304422
633121545544
75205441106
oct1460150550
9486543181
10213963112
11aa85a720
125b7a52b4
13354359bc
14205b8c76
1513bb6727
hexcc0d168

213963112 has 64 divisors (see below), whose sum is σ = 464434560. Its totient is φ = 91449600.

The previous prime is 213963103. The next prime is 213963143. The reversal of 213963112 is 211369312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122598 + ... + 124330.

It is an arithmetic number, because the mean of its divisors is an integer number (7256790).

Almost surely, 2213963112 is an apocalyptic number.

213963112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213963112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232217280).

213963112 is an abundant number, since it is smaller than the sum of its proper divisors (250471448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213963112 is a wasteful number, since it uses less digits than its factorization.

213963112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1830 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 213963112 is about 14627.4779781068. The cubic root of 213963112 is about 598.1080329645.

The spelling of 213963112 in words is "two hundred thirteen million, nine hundred sixty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 23 44 46 61 88 92 122 184 244 253 488 506 671 1012 1342 1403 1733 2024 2684 2806 3466 5368 5612 6932 11224 13864 15433 19063 30866 38126 39859 61732 76252 79718 105713 123464 152504 159436 211426 318872 422852 438449 845704 876898 1162843 1753796 2325686 2431399 3507592 4651372 4862798 9302744 9725596 19451192 26745389 53490778 106981556 213963112